# Ex.8.1 Q5 Comparing Quantities - NCERT Maths Class 8

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## Question

If Chameli had $$\rm{Rs}\, 600$$ left after spending $$75\%$$ of her money, how much did she have in the beginning?

Video Solution
Comparing Quantities
Ex 8.1 | Question 5

## Text Solution

What is known?

Percentage of amount Chameli spent $$= 75\%$$

Amount left with her $$= \rm{Rs} \,600$$

What is unknown?

Amount Chameli had in the beginning

Reasoning:

Since the whole is considered as $$100\%,$$ Percentage of amount left with Chameli is

$\left( {100 - 75} \right)\%= 25\%$

Assuming the total amount in the beginning as $$x,$$ and equating $$25\%$$ of $$x$$ to $$600,$$ the value of $$x$$ can be found.

Steps:

Let the total amount Chameli had with her in the beginning $$= x$$

Percentage of amount left with Chameli $$= 100-75 = 25%$$

\begin{align}25\% {\rm\;{of}}\;x &= 600\\\frac{{{25}}}{{{100}}}{ \times }x&= 600\\ x &= \frac{{{600 \times 100}}}{{{25}}}\\&= 2,400\end{align}

The amount that Chameli had in the beginning is $$\rm{Rs} \,2,400$$

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